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Finding the Third Proportional to 61.52 and 86.84

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Solution

The third proportional to 61.52 and 86.84 is: 122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.52 : 86.84 = 86.84 : x
  2. Step 2: Convert to fraction form
    61.52/86.84 = 86.84/x
  3. Step 3: Cross multiply
    61.52x = 86.84 × 86.84
  4. Step 4: Simplify right side
    61.52x = 7,540.48
  5. Step 5: Solve for x
    x = 7,540.48/61.52
  6. Step 6: Final answer
    x = 122.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.